Symmetric extension of two-qubit states

Chen, J; Ji, Z; Kribs, D; Lütkenhaus, N; Zeng, B

Symmetric extension of two-qubit states

Chen, J Ji, Z

Kribs, D Lütkenhaus, N Zeng, B

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Publication Type:: Journal Article
Citation:: Physical Review A - Atomic, Molecular, and Optical Physics, 2014, 90 (3)
Issue Date:: 2014-09-17

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Field	Value	Language
dc.contributor.author	Chen, J	en_US
dc.contributor.author	Ji, Z https://orcid.org/0000-0002-7659-3178	en_US
dc.contributor.author	Kribs, D	en_US
dc.contributor.author	Lütkenhaus, N	en_US
dc.contributor.author	Zeng, B	en_US
dc.date.issued	2014-09-17	en_US
dc.identifier.citation	Physical Review A - Atomic, Molecular, and Optical Physics, 2014, 90 (3)	en_US
dc.identifier.issn	1050-2947	en_US
dc.identifier.uri	http://hdl.handle.net/10453/115711
dc.description.abstract	© 2014 American Physical Society. A bipartite state ρAB is symmetric extendible if there exists a tripartite state ρABB′ whose AB and AB′ marginal states are both identical to ρAB. Symmetric extendibility of bipartite states is of vital importance in quantum information because of its central role in separability tests, one-way distillation of Einstein-Podolsky-Rosen pairs, one-way distillation of secure keys, quantum marginal problems, and antidegradable quantum channels. We establish a simple analytic characterization for symmetric extendibility of any two-qubit quantum state ρAB; specifically, tr(ρB2)≥tr(ρAB2)-4detρAB. As a special case we solve the bosonic three-representability problem for the two-body reduced density matrix.	en_US
dc.relation.ispartof	Physical Review A - Atomic, Molecular, and Optical Physics	en_US
dc.relation.isbasedon	10.1103/PhysRevA.90.032318	en_US
dc.subject.classification	General Physics	en_US
dc.title	Symmetric extension of two-qubit states	en_US
dc.type	Journal Article
utslib.citation.volume	3	en_US
utslib.citation.volume	90	en_US
utslib.for	0206 Quantum Physics	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical Sciences	en_US
utslib.for	03 Chemical Sciences	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Provost
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	open_access
pubs.issue	3	en_US
pubs.publication-status	Published	en_US
pubs.volume	90	en_US

Abstract:

© 2014 American Physical Society. A bipartite state ρAB is symmetric extendible if there exists a tripartite state ρABB′ whose AB and AB′ marginal states are both identical to ρAB. Symmetric extendibility of bipartite states is of vital importance in quantum information because of its central role in separability tests, one-way distillation of Einstein-Podolsky-Rosen pairs, one-way distillation of secure keys, quantum marginal problems, and antidegradable quantum channels. We establish a simple analytic characterization for symmetric extendibility of any two-qubit quantum state ρAB; specifically, tr(ρB2)≥tr(ρAB2)-4detρAB. As a special case we solve the bosonic three-representability problem for the two-body reduced density matrix.

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http://hdl.handle.net/10453/115711